{ "id": "2009.13641", "version": "v1", "published": "2020-09-28T21:35:32.000Z", "updated": "2020-09-28T21:35:32.000Z", "title": "A Geometric Application for the $det^{S^2}$ Map", "authors": [ "Mihai D. Staic", "Jacob Van Grinsven" ], "comment": "5 pages, all comments are welcome", "categories": [ "math.AG", "math.RA" ], "abstract": "We discuss properties of the $det^{S^2}$ map, present a few explicit computations, and give a geometrical interpretation for the condition $det^{S^2}((v_{i,j})_{1\\leq i